90489 has 16 divisors (see below), whose sum is σ = 143360. Its totient is φ = 49680.

The previous prime is 90481. The next prime is 90499. The reversal of 90489 is 98409.

It is not a de Polignac number, because 90489 - 2³ = 90481 is a prime.

It is an Ulam number.

90489 is a lucky number.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90489.

It is not an unprimeable number, because it can be changed into a prime (90481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (8960).

2⁹⁰⁴⁸⁹ is an apocalyptic number.

It is an amenable number.

90489 is a deficient number, since it is larger than the sum of its proper divisors (52871).

90489 is a wasteful number, since it uses less digits than its factorization.

90489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 90489 is about 300.8138959556. The cubic root of 90489 is about 44.8950641314.

The spelling of 90489 in words is "ninety thousand, four hundred eighty-nine".